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x is given and (sin(x),cos(x)) is plotted on a unit circle. Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.)
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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Lovkush Agarwal 7 years, 5 months ago
Created this as a copy of Geometry: trig on unit circle I.There are 183 other versions that do you not have access to.
| Name | Type | Generated Value |
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| a | integer |
61
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| angle | list |
[ 61, -61, 241, 299, 29, 119 ]
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| x | list |
List of 3 items
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| y | list |
List of 3 items
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Generated value: integer
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Ask the student a question, and give any hints about how they should answer this part.
{dragpointa(x[0],y[0])}
To determine $\sin(\var{angle[0]}^{\text{o}})$ and $\cos(\var{angle[0]}^{\text{o}})$ using the circle, point $A$ was drawn.
(i) Use this to determine the following to 2 d.p.. (If you hover the mouse over the point $A$, you will be shown its coordinates.)
$\sin(\var{angle[0]}^{\text{o}}) =$
$\cos(\var{angle[0]}^{\text{o}}) =$
(ii) We want to determine $\sin(\var{angle[1]}^{\text{o}})$ and $\cos(\var{angle[1]}^{\text{o}})$.
First move $B$ to the appropriate location on the circle. Hence, work out $\sin$ and $\cos$ to 2 d.p..
$\sin(\var{angle[1]}^{\text{o}}) =$
$\cos(\var{angle[1]}^{\text{o}}) =$
Hint: you first need to work out the connection between $\var{angle[1]}$ and $\var{angle[0]}$. Sometimes it is obvious (e.g. new angle is the negative of the original angle) but sometimes it is tricky (e.g. new angle is 180 minus the old angle).
(iii) Do the same for $\sin(\var{angle[3]}^{\text{o}})$ and $\cos(\var{angle[3]}^{\text{o}})$ using $C$. First move $C$ then enter the numbers.
$\sin(\var{angle[3]}^{\text{o}}) =$
$\cos(\var{angle[3]}^{\text{o}}) =$
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This question is used in the following exam: